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MaxwellDistribution

MaxwellDistribution[Sigma]
represents a Maxwell distribution with scale parameter Sigma.
  • The probability density for value x in a Maxwell distribution is proportional to x^2ⅇ^(-x^2/(2sigma^2)) for x>0, and is zero for x<0. »
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Basic Examples   (2)
The mean and variance of a Maxwell distribution:
Probability density function:
The mean and variance of a Maxwell distribution:
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Probability density function:
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Scope   (3)
Generate a set of random numbers that are Maxwell distributed:
Properties based on higher-order moments:
The q^(th) quantile of a Maxwell distribution:
Applications   (2)
Plot the cumulative distribution function of the random variable:
A contour plot as both x and Sigma are varied:
Properties & Relations   (2)
The probability density function integrates to unity:
MaxwellDistribution with sigma=1 is a special case of ChiDistribution:
Possible Issues   (2)
MaxwellDistribution is not defined when Sigma is not a positive real number:
Substitution of invalid parameters into symbolic outputs gives results that are not meaningful:
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